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Finding the Fourth Proportional to 488.11, 670.01 and 431.61

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Solution

The fourth proportional to 488.11, 670.01 and 431.61 is: 592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.11 : 670.01 = 431.61 : x
  2. Step 2: Convert to fraction form
    488.11/670.01 = 431.61/x
  3. Step 3: Cross multiply
    488.11x = 670.01 × 431.61
  4. Step 4: Simplify right side
    488.11x = 289,180.86
  5. Step 5: Solve for x
    x = 289,180.86/488.11
  6. Step 6: Final answer
    x = 592.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.